1、

Calculation of Clebsch-Gordan coefficient for quantum algebra su ( 2)_ ( q, s) by using the TWO-PARAMETER DEFORMED spin coherent state

利用双参变形自旋相干态计算量子代数SU(2)(q,s)的Clebsch-Gordan系数

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2、

based on the lie algebra that describes the symmetries, it is proved in this dissertation that a sufficiently large class of control hamiltonians can be provided by the universal enveloping algebra of the lie algebra, on which the quantum mechanical control systems can be modelled.

基于描述量子力学系统对称性的李代数结构,本文证明该李代数的泛包络代数提供了足够大的一类控制哈密顿量,因而可以在其上建立量子力学控制系统的模型。

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3、

Homological Dimension of Quantum Commutative Algebra

量子交换代数的整体同调维数

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4、

the procedure is as follows: after the modeling of the electron quantum bit system and the control field, applying the lie-algebra, the control output is calculated by analogy with the classical optimal control method to achieve the target.

建立了该量子比特系统及其控制场的模型,借助李群李代数,由经典最优控制的思想来获得最优控制,从而实现了电子自旋量子系统任意量子态的最优制备。

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5、

we point out that the usual quantum enveloping algebra can be realized at classical level in the sense of poisson bracket. as an example, we give the classical realization of uq ( su ( 2)) by a system of classical harmonic oscillators.

通常所谓的量子包络代数可以在经典Poisson括号的意义下实现,以谐振子系统为例,给出U q(SU(2))的这种经典实现,指出这种q变形伴随着相空间复坐标的Beltrami变形。

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6、

The algebra AQ is called a quantum polynomial algebra.

代数AQ叫做量子多项式代数.

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7、

In 1995, Georgia Benkart etc. constructed quantum deformations of enveloping algebra of Borcherds superalgebra.

1995年, GeorgiaBenkart等构造了Borcherds超代数的量子化包络代数.

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8、

some remarks on the deformed oscillator representaton of the quantum universal enveloping algebra

关于量子普适包络代数变形振子表示的若干讨论

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9、

In this paper, we extend the concept of quantum Lie algebra to two-parameter case.

本文把量子李代数的概念推广到了双参数的情形.

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